TY - JOUR
T1 - Matrix-pattern-based computer algorithm for solving fuzzy relation equations
AU - Luoh, Leh
AU - Wang, Wen June
AU - Liaw, Yi Ke
N1 - Funding Information:
Manuscript received October 3, 2001; revised April 29, 2002 and June 11, 2002. This paper was supported in part by the National Science Council of Taiwan, R.O.C., under Grant NSC-89-2213-E008-018. L. Luoh is with the Chung Shan Institute of Science and Technology, Lungtan, 325 Taiwan, R.O.C. W.-J. Wang and Y.-K. Liaw are with the Department of Electrical Engineering, National Central University, Chung-Li, 320 Taiwan, R.O.C. (e-mail: [email protected]). Digital Object Identifier 10.1109/TFUZZ.2002.806322
PY - 2003/2
Y1 - 2003/2
N2 - This paper proposes a new computer algorithm to solve the fuzzy relation equation P × Q = R, where × denotes max-min composition or max-product composition. This algorithm operates systematically and graphically on a matrix pattern to get all the solutions of P. Furthermore, by using MATLAB software 6.0, the algorithm is implemented in a computer program attached in the Appendix of this paper. Two examples are given to illustrate the effectiveness of the proposed algorithm.
AB - This paper proposes a new computer algorithm to solve the fuzzy relation equation P × Q = R, where × denotes max-min composition or max-product composition. This algorithm operates systematically and graphically on a matrix pattern to get all the solutions of P. Furthermore, by using MATLAB software 6.0, the algorithm is implemented in a computer program attached in the Appendix of this paper. Two examples are given to illustrate the effectiveness of the proposed algorithm.
KW - Fuzzy relation equations
KW - Max-min operator
KW - Max-product operator
UR - http://www.scopus.com/inward/record.url?scp=0037331406&partnerID=8YFLogxK
U2 - 10.1109/TFUZZ.2002.806322
DO - 10.1109/TFUZZ.2002.806322
M3 - 期刊論文
AN - SCOPUS:0037331406
SN - 1063-6706
VL - 11
SP - 100
EP - 108
JO - IEEE Transactions on Fuzzy Systems
JF - IEEE Transactions on Fuzzy Systems
IS - 1
ER -